POSSIBLE SOLUTION(S)

Part I. The Logistic Family: f(x) = a x ( 1 - x ).

Part II. A study of the quadratic map Q(x) = x^2 + b.

Part III. A study of the Feigenbaum diagrams for the logistic family.

Part IV. A study of the Feigenbaum diagrams for the quadratic family.

Part V. Divergence Diagrams (extensions of Feigenbaum diagrams.)